Activate link the pull chain (or lever) to one actor. Link all the other actors to this first actor. Have all the actors start as initially disabled.
On the pull chain add a vanilla script (make sure you copy the chain as a new form first or it might change all pull chains in your game) that has enable on activate link.
When someone activates the pull chain, the actors should be enabled off that activation.
I might have some minor syntax wrong here, but you get the idea. I can't fire up my mod in the Ck to check this, but this is the basic pattern.